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Alexandria Engineering Journal

Witnessing quantum correlations in two coupled quantum dots under intrinsic decoherence

Nagwa Ibrahim Mohammed, Hanadi Abdelsalam, Shaimaa Almalki, Mahmoud Youssef Abd‐Rabbou, S. Abdel‐Khalek, Eied Mahmoud Khalil

Published Feb 20, 2023• 24 citations
Publisher

Abstract

The influences of intrinsic decoherence, tunnelling rates, and Coulomb coupling interaction on the behaviour of negativity, quantum coherence and the measurement-induced disturbance of two coupled quantum dot molecules are discussed. The aforementioned is implemented by obtaining the exact solution of the Milburn equation, where the initial setting state is prepared in an entangled Werner state. Various phenomena are illustrated for three physical measures, namely entanglement, coherence, and quantum correlations. It showed that the intrinsic decoherence strength plays a destructive role for the maximum bounds of all these physical quantities, in which they are decayed to a non-zero fixed point. Altering the tunnelling rates strength increases/ decreases the maximum and minimum bounds of the three physical measurements, whereby increasing the tunnelling rate lessens the entanglement and denigrates the maximum and minimum values of coherence and quantumness. Otherwise, the Coulomb coupling enhances the stability of all physical quantities.

DOI
10.1016/j.aej.2023.01.057

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The influences of intrinsic decoherence, tunnelling rates, and Coulomb coupling interaction on the behaviour of negativity, quantum coherence and the measurement-induced disturbance of two coupled quantum dot molecules are discussed. The aforementioned is implemented by obtaining the exact solution of the Milburn equation, where the initial setting state is prepared in an entangled Werner state. Various phenomena are illustrated for three physical measures, namely entanglement, coherence, and quantum correlations. It showed that the intrinsic decoherence strength plays a destructive role for the maximum bounds of all these physical quantities, in which they are decayed to a non-zero fixed point. Altering the tunnelling rates strength increases/ decreases the maximum and minimum bounds of the three physical measurements, whereby increasing the tunnelling rate lessens the entanglement and denigrates the maximum and minimum values of coherence and quantumness. Otherwise, the Coulomb coupling enhances the stability of all physical quantities.
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Abstract This study investigates the dynamics of two‐qubit quantum‐memory‐assisted (QMA) entropic uncertainty relation and entanglement in a system comprising two strongly coupled semiconductor pair quantum dots (SPQD). The influences of detuning, tunnel coupling, dipole‐dipole interaction, and intrinsic decoherence on the system's behavior are explored. Without decoherence, periodic fluctuations in entropic uncertainty driven by the inter‐dot coupling parameter , are observed, while entanglement remains negligible, reflecting the separable nature of the initial two‐qubit states. Introducing decoherence significantly alters these dynamics, with even low decoherence rates, an increased uncertainty and accelerated loss of coherence are observed when coupled with strong dipole interactions. The findings elucidate the complex interplay between entropic uncertainty and entanglement under intrinsic decoherence, highlighting challenges in maintaining quantum coherence. This work enhances the understanding of quantum dynamics in strongly coupled qubit systems and opens the doors for research to mitigate decoherence effects and improve quantum information processing.
This study investigates the dynamics of two-qubit correlations in a double quantum dot (QD) containing an electron and two charge-spin configurations under the influence of Rashba interaction, the Dzyaloshinsky–Moriya interaction, and an external magnetic field. The dynamics of two-qubit correlations, particularly those of local quantum Fisher information (LQFI) and local quantum uncertainty (LQU), are compared with those of log negativity. The correlation dynamics are analysed under the effects of Dzyaloshinsky–Moriya interaction, Rashba spin–orbit coupling, electron tunnelling strength, Zeeman spin-splitting coupling, and intrinsic decoherence. Importantly, in the absence of intrinsic electron QD qubit decoherence, it is found that weak couplings within the electron QD qubit system have a high capacity to create equal LQFI and LQU two-qubit correlations, as well as log-negativity entanglement. Furthermore, it is found that an increase in Zeeman spin splitting and the tunnelling effect of two electrons decreases the ability of the other couplings, DM spin–orbit and Rashba spin–orbit interactions, to generate Wigner–Yanase–Fisher correlation and entanglement, and the opposite is also true. The generation of electron-QD qubit correlations exhibits decaying oscillatory dynamics, especially when decoherence is considered. Additionally, the LQFI and LQU display different correlations, and the sudden death and birth phenomena of entanglement occur. Moreover, the phenomena of decaying oscillatory dynamics, as well as the sudden death and birth of entanglement, depend on the electron-QD-qubit couplings. These electron-QD-qubit correlations provide the quantum dot system with promising features for establishing quantum technologies.
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Two two-level systems generated by su(2) algebra are initially prepared in a maximum nonsymmetric Bell state and having no mutual interaction. Each su(2)-system spatially interacts with two-mode cavity field in the nondegenerate parametric amplifier type cast through operators governed by su(1, 1) Lie algebra. An analytical description for the time evolution of the final state of the total system with the effect of intrinsic decoherence is found. Therefore, the robustness of the quantum correlations between the two su(2)-system is investigated by means of geometric quantum discord, measurement-induced nonlocality and negativity. We analyze in some detail the influence of initial coherence intensities, detuning and phase decoherence parameters on the steady-state correlation. We find that the steady-state correlations can be generated and enhanced by controlling the parameters of: the initial coherence intensities, the Bargmman index and the detuning. It is shown that the phenomenon of sudden death and re-birth of entanglement, and the sudden changes of the geometric quantum correlation can be controlled by these parameters. We find that the robustness of the quantum correlation can be greatly enhanced by the Bargmman index and the resonance detuning. Negativity is the measure most susceptible to phase decoherence, while geometric quantum discord and measurement-induced nonlocality are the more robust measures.
Quantum correlations measured by measurement-induced disturbance (MID) in a two-qubit Heisenberg XY spin model with Dzialoshinskii—Moriya (DM) interaction under intrinsic decoherence are investigated. MID is studied under various circumstances and the influences of the external dependencies on the final quantum state which has stable MID are discussed. Two kinds of initial quantum states are considered as well as different conclusions. MID appears to decay periodically during the processing of intrinsic decoherence; both DM interaction and intrinsic decoherence have a negative impact on the correlations. The MID of the stable state depends on several factors, except the parameter of the intrinsic decoherence. Moreover, we find a special initial state that is able to maintain the maximum quantum correlations during the processing of intrinsic decoherence.